1679590080100 has 135 divisors (see below), whose sum is σ = 3857939100617. Its totient is φ = 634703326560.

The previous prime is 1679590080079. The next prime is 1679590080127. The reversal of 1679590080100 is 10800959761.

It is a happy number.

The square root of 1679590080100 is 1295990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 604652428836 + 1074937651264 = 777594^2 + 1036792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4678523721 + ... + 4678524079.

Almost surely, 2^{1679590080100} is an apocalyptic number.

1679590080100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1679590080100 is the 1295990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679590080100

1679590080100 is an abundant number, since it is smaller than the sum of its proper divisors (2178349020517).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1679590080100 is an frugal number, since it uses more digits than its factorization.

1679590080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 1679590080100 in words is "one trillion, six hundred seventy-nine billion, five hundred ninety million, eighty thousand, one hundred".